What is (7x-2)^3-(6x+9)^3 ?

The solution to (7x-2)^3-(6x+9)^3 is 127x^3-1266x^2-1374x-737

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (7x-2)^3-(6x+9)^3

simplify

(7 x - 2)^{3} - (6 x + 9)^{3}

127 x^{3} - 1266 x^{2} - 1374 x - 737

Solution steps

(7 x - 2)^{3} - (6 x + 9)^{3}

Expand

(7 x - 2)^{3} : 343 x^{3} - 294 x^{2} + 84 x - 8

= 343 x^{3} - 294 x^{2} + 84 x - 8 - (6 x + 9)^{3}

Expand

- (6 x + 9)^{3} : - 216 x^{3} - 972 x^{2} - 1458 x - 729

= 343 x^{3} - 294 x^{2} + 84 x - 8 - 216 x^{3} - 972 x^{2} - 1458 x - 729

Group like terms

= 343 x^{3} - 216 x^{3} - 294 x^{2} - 972 x^{2} + 84 x - 1458 x - 8 - 729

Add similar elements:

343 x^{3} - 216 x^{3} = 127 x^{3}

= 127 x^{3} - 294 x^{2} - 972 x^{2} + 84 x - 1458 x - 8 - 729

Add similar elements:

- 294 x^{2} - 972 x^{2} = - 1266 x^{2}

= 127 x^{3} - 1266 x^{2} + 84 x - 1458 x - 8 - 729

Add similar elements:

84 x - 1458 x = - 1374 x

= 127 x^{3} - 1266 x^{2} - 1374 x - 8 - 729

Subtract the numbers:

- 8 - 729 = - 737

= 127 x^{3} - 1266 x^{2} - 1374 x - 737

x 8 + y 8

\frac{6 a}{6}

(x^{9})^{3}

f (x) 4 x^{5} + 2 x^{6} + 2 x^{7}

8 a^{3} + 24 a^{2} + 16 a

What is (7x-2)^3-(6x+9)^3 ?
The solution to (7x-2)^3-(6x+9)^3 is 127x^3-1266x^2-1374x-737